513291064 has 64 divisors (see below), whose sum is σ = 1197231840. Its totient is φ = 202690560.

The previous prime is 513291059. The next prime is 513291067. The reversal of 513291064 is 460192315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513291067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6252 + ... + 32644.

Almost surely, 2^513291064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513291064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598615920).

513291064 is an abundant number, since it is smaller than the sum of its proper divisors (683940776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513291064 is a wasteful number, since it uses less digits than its factorization.

513291064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26440 (or 26436 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 513291064 is about 22655.9277894329. The cubic root of 513291064 is about 800.6718647559.

The spelling of 513291064 in words is "five hundred thirteen million, two hundred ninety-one thousand, sixty-four".